Standard, expanded, and word form
Standard form uses digits, expanded form shows place values, and word form names the number. All three forms should represent exactly the same quantity, including any empty places.
Understand place value through the thousands and use it to round numbers.
Place value is the idea that a digit's value depends on its position within a number. The "3" in 30 is worth ten times more than the "3" in 3. This concept is the backbone of our entire number system and is essential for understanding how multi-digit numbers work.
For 3rd Grade students, place value is a major conceptual leap. It moves children from thinking of numbers as a simple counting sequence to understanding their internal structure. Students who grasp place value can add and subtract multi-digit numbers, compare large numbers, and understand that 10 ones make 1 ten — a key concept for regrouping (carrying and borrowing).
Use a worked explanation before choosing a printable set.
Standard form uses digits, expanded form shows place values, and word form names the number. All three forms should represent exactly the same quantity, including any empty places.
Check three selected skills for this grade and use the explained answers to choose your next practice.
Students first learn to break numbers into tens and ones, then apply that understanding to compare two-digit numbers. The ability to decompose numbers makes addition and subtraction with regrouping much more intuitive.
Understand the value of digits in numbers up to 10,000.
10 worksheets · 3 difficulty levels2Round numbers to the nearest ten and hundred.
10 worksheets · 3 difficulty levels3Order numbers up to 10,000 from least to greatest.
10 worksheets · 3 difficulty levels4Write numbers in standard, word, and expanded form.
10 worksheets · 3 difficulty levelsUse physical bundles: group 10 pennies, straws, or blocks together and call them "one ten." Then show 3 tens and 4 ones to represent 34.
Play "build the number" — say a number and have your child show it with tens and ones using objects or drawings.
When your child sees a two-digit number, ask: "How many tens? How many ones?" until it becomes automatic.
Connect to money: a dime is worth 10 pennies, which is a perfect real-world model of tens and ones.
3rd Grade place value builds foundational skills that students need to progress in math. The worksheets on this page cover the available skills listed below, organized from basic to more advanced.
Available subtopics have 10 numbered sets for 3rd Grade place value, organized by difficulty level (Easy, Medium, Hard). Each worksheet targets specific skills within this topic area.
Check the prerequisite topics listed on this page. We recommend students have a solid understanding of those foundational skills before moving on to place value.
Start with the Easy worksheets (Worksheets 1–3). If your student completes them confidently with minimal errors, move to Medium (Worksheets 4–7). Reserve the Hard worksheets (Worksheets 8–10) for students who have demonstrated solid mastery at the Medium level. It is perfectly fine to spend more time at a lower difficulty — mastery at each level is more valuable than rushing ahead.
Yes, every place value worksheet on K12Worksheets is completely free to download and print. There is no signup required, no subscription, and no limit on how many you can print. Each worksheet includes a printable answer key on a separate page so parents and teachers can check work quickly.